• Title/Summary/Keyword: 적합도 검정

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Test of Homogeneity for Intermittent Panel AR(1) Processes and Application (간헐적인 패널 1차 자기회귀과정들의 동질성 검정과 적용)

  • Lee, Sung Duck;Kim, Sun Woo;Jo, Na Rae
    • The Korean Journal of Applied Statistics
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    • v.27 no.7
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    • pp.1163-1170
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    • 2014
  • The concepts and structure of intermittent panel time series data are introduced. We suggest a Wald test statistic for the test of homogeneity for intermittent panel first order autoregressive model and its limit distribution is derived. We consider the fitting the model with pooling data using sample mean at the time point if homogeneity for intermittent panel AR(1) is satisfied. We performed simulations to examine the limit distribution of the homogeneity test statistic for intermittent panel AR(1). In application, we fit the intermittent panel AR(1) for panel Mumps data and investigate the test of homogeneity.

NHPP Software Reliability Model based on Generalized Gamma Distribution (일반화 감마 분포를 이용한 NHPP 소프트웨어 신뢰도 모형에 관한 연구)

  • Kim, Hee-Cheul
    • Journal of the Korea Society of Computer and Information
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    • v.10 no.6 s.38
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    • pp.27-36
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    • 2005
  • Finite failure NHPP models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates Per fault. This Paper Proposes reliability model using the generalized gamma distribution, which can capture the monotonic increasing(or monotonic decreasing) nature of the failure occurrence rate per fault. Equations to estimate the parameters of the generalized gamma finite failure NHPP model based on failure data collected in the form of interfailure times are developed. For the sake of proposing shape parameter of the generalized gamma distribution, used to the special pattern. Data set, where the underlying failure process could not be adequately described by the knowing models, which motivated the development of the gamma or Weibull model. Analysis of failure data set for the generalized gamma modell, using arithmetic and Laplace trend tests . goodness-of-fit test, bias tests is presented.

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Goodness of Fit Testing for Exponential Distribution in Step-Stress Accelerated Life Testing (계단충격가속수명시험에서의 지수분포에 대한 적합도검정)

  • Jo, Geon-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.5 no.2
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    • pp.75-85
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    • 1994
  • In this paper, I introduce the goodness-of-fit test statistics for exponential distribution using accelerated life test data. The ALT lifetime data were obtained by assuming step-stress ALT model, specially TRV model introduced by DeGroot and Goel(1979). The critical values are obtained for proposed test statistics, Kolmogorov-Smirnov, Kuiper, Watson, Cramer-von Mises, Anderson-Darling type, under various sample sizes and significance levels. The powers of the five test statistic are compared through Monte-Cairo simulation technique.

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Evaluation of Probable Rainfall Intensity Formula Considering the Locality of Rainfall Pattern Change at Incheon City (국지성 호우패턴 변화를 고려한 인천지역 확률강우강도식의 산정)

  • Choi, Gye-Woon;Han, Man-Shin;Chung, Yeun-Jung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.846-851
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    • 2006
  • 본 논문은 최근 발생한 집중호우와 이상강우를 고려하여 인천지역에서 사용중인 확률강우강도식에 대한 새로운 확률강우강도식을 제안하였으며, 기상청 자료를 이용하여 지속시간 10분${\sim}$24시간까지의 임의시간 연최대강우량을 산정하였다. 강우지속기간별 확률강우량을 추정하기 위하여 11개의 확률분포형을 적용하였으며 Chi-square 검정방법, Kolmogorov -Smirnov 검정방법, Cramer Von Mises 검정방법으로 적합도 검정과 함께 최근 강우에 대한 경향을 분석하고 실제 발생한 강우 중에서 최대 발생 강우량을 고려하여 적정분포인 GEV 분포를 확률 분포형으로 선정하였다. 확률강우강도식은 최소자승법을 사용하여 Talbot형, Sherman형, Japanese형, 통합형 Ⅰ 및 Ⅱ 형태로 산정하였고, 지역내 하수도 및 하천의 지속시간을 감안하여 확률강우강도식을 결정하였다. 또한 정확성을 고려하여 통합형 Ⅰ을 선택하였고 지속시간에 따른 강우강도식의 확률강우와 관측치를 감안한 강도식을 인천지역의 강우강도식으로 제안하였다.

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Comparison on Probability Plot Correlation Coefficient Test Considering Skewness of Sample for the GEV Distribution (표본자료의 왜곡도 영향을 고려한 GEV 분포의 확률도시 상관계수 검정방법 비교 검토)

  • Ahn, Hyunjun;Shin, Hongjoon;Kim, Sooyoung;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.47 no.2
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    • pp.161-170
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    • 2014
  • It is important to estimate an appropriate quantile for design of hydraulic structure. For this purpose, it is necessary to find the appropriate probability distribution which can represent the sample data well. Probability plot correlation coefficient test as one of goodness-of-fit test, is recently developed and has been known as a simple and powerful method. In this study, probability plot correlation coefficient test statistics using the plotting position considering the coefficients of skewness for the GEV distribution is derived, and represented by the regression equation. Monte-Carlo method is also performed to compare the rejection power between each method. As the results, the probability plot correlation coefficient test which is derived in this study is better than the others. In particular, when sample size is small and distribution has the shape parameter, rejection power of probability plot correlation coefficient test considering the coefficients of skewness is bigger than the others.

Testing Independence in Contingency Tables with Clustered Data (집락자료의 분할표에서 독립성검정)

  • 정광모;이현영
    • The Korean Journal of Applied Statistics
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    • v.17 no.2
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    • pp.337-346
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    • 2004
  • The Pearson chi-square goodness-of-fit test and the likelihood ratio tests are usually used for testing independence in two-way contingency tables under random sampling. But both of these tests may provide false results for the contingency table with clustered observations. In this case we consider the generalized linear mixed model which includes random effects of clustering in addition to the fixed effects of covariates. Both the heterogeneity between clusters and the dependency within a cluster can be explained via generalized linear mixed model. In this paper we introduce several types of generalized linear mixed model for testing independence in contingency tables with clustered observations. We also discuss the fitting of these models through a real dataset.

Vigor Determination in Barley Seeds by the Multiple Criteria (보리 종자세 검정방법 비교)

  • Seok Hyeon, Kim;Zhin Ryong, Choe;Jin Ho, Kang
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.32 no.4
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    • pp.417-424
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    • 1987
  • The seeds of three barley varieties of which initial seed vigor were different were used to measure seed vigor of accelerated aging techniques. A vigor index derived from the product of percent germination and plumule length was used to estimate seed vigor. The index was compared with the results of other tests. The results of warm germination test well suited to the measurements of seed vigor at the advanced stages of seed deterioration. Other vigor measurements except ATP and GADA values, showed close relationships with the vigor index. The measurements of plumule length in cold test and tetrazolium test were found to be appropriate for predicting seed quality.

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Study on Optimal Sample Size for Bivariate Frequency Anlaysis using POT (POT 방법을 이용한 이변량 빈도해석 적정 표본크기 연구)

  • Joo, Kyungwon;Joo, Kyungwon;Joo, Kyungwon;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.38-38
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    • 2015
  • 최근 다변량 확률모형을 이용한 빈도해석이 여러 수문분야에 걸쳐 연구되고 있다. 기존 일변량 빈도해석에 비해 변수활용에 대한 자유도와 물리적 현상을 정확하게 표현할 수 있다는 장점이 있으나, 표본자료의 부족, 매개변수 추정 및 적합도 검정 등의 어려움으로 실제 분야에 사용되기 어려운 점이 있다. 본 연구에서는 copula 모형에 대하여 Cramer-von Mises(CVM) 적합도 검정 시 표본자료의 적정 크기를 결정하기 위하여 Peaks-Over-Threshold(POT) 방법을 이용하였다. 서울지점의 기상청 시강우 자료를 이용하여 빈도해석을 수행하였으며, Gumbel copula 모형에 대하여 매개변수 추정은 maximum pseudolikelihood method(MPL) 방법을 이용하였다. 50년의 기록 자료에 대하여 표본크기를 50개부터 2500개까지 조절하여 CVM 통계값과 p-value를 기준으로 적정 표본크기를 산정하였다.

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A linearity test statistic in a simple linear regression (단순회귀모형에서 선형성 검정통계량)

  • Park, Chun Gun;Lee, Kyeong Eun
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.2
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    • pp.305-315
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    • 2014
  • In a simple linear regression, a linear relationship between an explanatory variable and a response variable can be easily recognized in the scatter plot of them. The lack of fit test for the replicated data is commonly used for testing the linearity but it is not easy to test the linearity when the explanatory variable is not replicated. In this paper, we propose three new test statistics for testing the linearity regardless of replication using the principle of average slope and validate them through several simulations and empirical studies.